PLEASE DONT READ THIS YOU WILL GET KISSED ON THE NEAREST POSSIBLE FRIDAY BY THE LUV OF YOUR LIFE. TMRROW WILL BE THE BEST DAY OF YOUR LIFE. IF YOU DONT POST THIS COMMENT TO AT LEAST 3 VIDEOS YOU WILL DIE WITHIN 2 DAYS. SEND THIS OVER TO 5 VIDEOS IN 143 MINUTES WHEN UR DONE PRESS F6 AND UR CRUSH NAME WILL APPEAR ON THE SCREEN IN BIG LETTERS. THIS IS SO SCARY CAUSE IT ACTUALLY WORKs
Im curious... what does this 3-d visualization represent? I didnt get your video details. z^3 -1 has one input (z) and one output. But you managed to graph 3-space (which requires three values)... (not to mention the color coding). What do the axes represent?
@CogitoErgoCogitoSum Consider the region of the complex plane from -2 to +2 on both axes. Take a point from this region (x,y) (that's 2 values) and iterate using Newton's root-finding algorithm for complex polynomials. In this animation the polynomial is Z^3-1=0 and the color is determined by which root the algorithm found (only three possible roots, so only three colors). that's the 3rd value. The height is derived from the number of iterations required to arrive at a root... 4th value.
ROFL THIS SHIT IS 2 INTENSE !!!! OMG
Sano22n 3 months ago
Never before have I seen math presented in such a dramatic fashion.
forceuser17 5 months ago 4
@forceuser17 ROFL
Sano22n 3 months ago
Music is way too dramatic.
bryceguy72 11 months ago
i hate the sound but ty anyways :D
tubolclorosis21 2 years ago
This has been flagged as spam show
PLEASE DONT READ THIS YOU WILL GET KISSED ON THE NEAREST POSSIBLE FRIDAY BY THE LUV OF YOUR LIFE. TMRROW WILL BE THE BEST DAY OF YOUR LIFE. IF YOU DONT POST THIS COMMENT TO AT LEAST 3 VIDEOS YOU WILL DIE WITHIN 2 DAYS. SEND THIS OVER TO 5 VIDEOS IN 143 MINUTES WHEN UR DONE PRESS F6 AND UR CRUSH NAME WILL APPEAR ON THE SCREEN IN BIG LETTERS. THIS IS SO SCARY CAUSE IT ACTUALLY WORKs
Jwreckz 2 years ago
Im curious... what does this 3-d visualization represent? I didnt get your video details. z^3 -1 has one input (z) and one output. But you managed to graph 3-space (which requires three values)... (not to mention the color coding). What do the axes represent?
CogitoErgoCogitoSum 2 years ago
@CogitoErgoCogitoSum Consider the region of the complex plane from -2 to +2 on both axes. Take a point from this region (x,y) (that's 2 values) and iterate using Newton's root-finding algorithm for complex polynomials. In this animation the polynomial is Z^3-1=0 and the color is determined by which root the algorithm found (only three possible roots, so only three colors). that's the 3rd value. The height is derived from the number of iterations required to arrive at a root... 4th value.
bryceguy72 11 months ago
WOW this Z^2 - 1, 3D extrapolation is even better than using quadratic equations to factor second degree polynomials. Five Stars, Bravo!!
ungertron 3 years ago
Great Stuff
system0slaven 3 years ago
This is owesome!
concordance11 4 years ago 3
you replied to your own video with a compliment?
CogitoErgoCogitoSum 2 years ago 14
@CogitoErgoCogitoSum
pwesome
Dzotshen 1 year ago